61506216 has 96 divisors (see below), whose sum is σ = 178869600. Its totient is φ = 19776960.

The previous prime is 61506169. The next prime is 61506217. The reversal of 61506216 is 61260516.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 61506216.

It is not an unprimeable number, because it can be changed into a prime (61506217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55831 + ... + 56921.

It is an arithmetic number, because the mean of its divisors is an integer number (1863225).

Almost surely, 2^61506216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61506216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89434800).

61506216 is an abundant number, since it is smaller than the sum of its proper divisors (117363384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61506216 is a wasteful number, since it uses less digits than its factorization.

61506216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 61506216 is about 7842.5898783501. The cubic root of 61506216 is about 394.7356368132.

The spelling of 61506216 in words is "sixty-one million, five hundred six thousand, two hundred sixteen".